Piezoelectric vibrator and acceleration sensor using the same

Abstract: Four piezoelecric elements (14a-d) are formed on both surfaces of plate-shaped vibrating body (10). Two piezoelectric elements (14a,b) are formed to be opposite to each other at one side of the longitudinal center portion of the vibrating body. Another two piezoelectric elements (14c,d) are formed to be opposite to each other at the other side of the longitudinal center portion of the vibrating body. By applying the signal to the piezoelectric elements, the vibrating body is vibrated in a longitudinal direction, such that expansion takes place in one part and contraction takes place simultaneously in another part of the vibrating body. By using such vibration, the ends are not displaced in spite of the vibration of the vibrating body. An acceleration senser is obtained by measuring the output voltages from the piezoelectric elements of the vibrating body.

Description: The present invention relates to a piezoelectric vibrator and an acceleration sensor, particularly, relates to a piezoelectric vibrator used for oscillator, filter and sensor, and relates to an acceleration sensor using the piezoelectric vibrator. As a piezoelectric vibrator using the piezoelectric effect, there is the piezoelectric vibrator which a piezoelectric element is formed on a surface of a vibrating body formed of constant elastic metal material and the like. As a vibrating mode of such piezoelectric vibrator, there are bending vibrating mode, thickness vibrating mode, twisting vibrating mode and longitudinal vibrating mode and the like. The piezoelectric vibrator is used for oscillator, filter and sensor and the like. In the conventional piezoelectric vibrator, it becomes difficult to support the piezoelectric vibrator according to the miniaturization. Vibration tends to leak through the supporting portion of the piezoelectric vibrator, and the characteristics of the piezoelectric vibrator is deteriorated due to the vibration leakage. When some displacement or deformation occur to the supporting portions of the piezoelectric vibrator by the external force, the characteristics of the piezoelectric vibrator varies largely. Fig. 57 is an illustrative view showing an example of a conventional acceleration sensor. The acceleration sensor 1 includes a plate 2. One end of the plate 2 is fixed, and a weight 3 is attached to the other end of the plate 2. A piezoelectric elements 4 are formed on both surfaces of the plate 2. When an acceleration is applied in a direction perpendicular to the surface of the plate 2 of the acceleration sensor 1, the plate 2 bends as shown in Fig. 58. A voltage corresponding to the bending of plate 2 is generated in the piezoelectric elements 4. By measuring the voltage correspoonding to the bending of plate 2, the acceleration can be detected. The bending of the plate 2 can be increased by attaching the weight 3, and resulting in improvement of the sensitivity of the acceleration sensor 1. When such an acceleration sensor is mounted on a car, the impact or the vibration due to unevenness of the road is often stronger than the acceleration of the car. Hence, such an acceleration sensor of cantilever-construction type is apt to cause misoperation or damage due to influence of impact attributable to unevenness of the road surface. It is necessary to use a plurality of acceleration sensors in order to detect accelerations in a plurality of directions. US-A-4,633,204 relates to a mechanical filter having a vibrator. During operation of the device, the vibrator does not have a substantially constant length in its vibrating direction, so that it is not possible to support this device at both longitudinal ends of the vibrator. It is the object of the present invention to provide a piezoelectric vibrator which is easy to hold, has less vibration leakage and is less subjected to influences due to an external force. This object is achieved by a piezoelectric vibrator according to claim 1 and claim 9. It is the object of the present invention to provide an acceleration sensor which can detect a minute acceleration with a high sensitivity and has a high impact resistance. This object is achieved by an acceleration sensor according to claim 33, claim 38, claim 43, and claim 47. Fig. 1 is a perspective view showing an embodiment of the piezoelectric vibrator of the invention. Fig. 2 is a sectional view showing a piezoelectric vibrator shown in Fig. 1. Fig. 3 is a circuit diagram for driving a piezoelectric vibrator shown in Fig. 1. Figs. 4(A)-4(E) are illustrative views showing a vibrating state of the piezoelectric vibrator shown in Fig. 1. Fig. 5 is a graph showing a resonance characteristics of the piezoelectric vibrator shown in Fig. 1. Fig. 6 is a perspective view showing a state when the resonance frequency of the piezoelectric vibrator shown in Fig. 1 is adjusted. Fig. 7 is an illustrative view showing a modified example of the piezoelectric vibrator shown in Fig. 1 and the circuit for driving it. Fig. 8 is an illustrative view showing another embodiment of a piezoelectric vibrator of the invention. Fig. 9 is a perspective view showing a still another embodiment of a piezoelectric vibrator of the invention. Fig. 10 is an illustrative view showing a vibrating state of the piezoelectric vibrator shown in Fig. 9. Fig. 11 is a sectional view showing a still further embodiment of the piezoelectric vibrator of the invention. Fig. 12 is a plan view showing a first embodiment of an acceleration sensor of the invention. Fig. 13 is a sectional view showing an acceleration sensor shown in Fig. 12. Fig. 14 is a circuit diagram showing a circuit for using the acceleration sensor shown in Fig. 12. Fig. 15 is an illustrative view showing a state of the vibrating body when the acceleration is given to the acceleration sensor shown in Fig. 12. Fig. 16 is a sectional view showing a second embodiment of an acceleration sensor of the invention. Fig. 17 is a plan view showing a third embodiment of an acceleration sensor of the invention. Fig. 18 is a sectional view showing an acceleration sensor shown in Fig. 17. Fig. 19 is a plan view showing a state of the acceleration sensor when acceleration is given to the acceleration sensor shown in Fig. 17. Fig. 20 is a sectional illustrative view showing an acceleration sensor shown in Fig. 19. Fig. 21 is a sectional illustrative view showing a fourth embodiment of an acceleration sensor of the invention. Fig. 22 is a sectional illustrative view showing a fifth embodiment of an acceleration sensor of the invention. Fig. 23 is a sectional view showing a sixth embodiment of an acceleration sensor of the invention. Fig. 24 is a sectional illustrative view showing a seventh embodiment of an acceleration sensor of the invention. Fig. 25 is a plan view showing an eighth embodiment of an acceleration sensor of the invention. Fig. 26 is a sectional view showing an acceleration sensor shown in Fig. 25 which is cut across one opposite side. Fig. 27 is a sectional view showing an acceleration sensor shown in Fig. 25 which is cut across the other opposite side. Fig. 28 is a circuit diagram showing a driving circuit for vibrating an acceleration sensor shown in Fig. 25. Fig. 29 is an illustrative view showing a state that acceleration is given to an acceleration sensor shown in Fig. 25. Fig. 30 is a circuit diagram showing a detecting circuit for measuring an output voltage of an acceleration sensor shown in Fig. 25. Fig. 31 is a plan view showing a ninth embodiment of an acceleration sensor of the invention. Fig. 32 is a sectional view showing an acceleration sensor shown in Fig. 31 which is cut across one opposite side. Fig. 33 is a sectional view showing an acceleration sensor shown in Fig. 31 which is cut across the other opposite side. Fig. 34 is a circuit diagram showing a driving circuit and a detecting circuit for an acceleration sensor shown in Fig. 31. Fig. 35 is a sectional view showing a tenth embodiment of an acceleration sensor of the invention. Fig. 36 is a sectional view showing an acceleration sensor shown in Fig. 35 which is cut across the other side. Fig. 37 is a perspective view showing an eleventh embodiment of an acceleration sensor of the invention. Fig. 38 is a sectional view showing an acceleration sensor shown in Fig. 37 taken along the line XXXVIII - XXXVIII. Fig. 39 is a sectional view showing an acceleration sensor shown in Fig. 37 taken along the line XXXIX - XXXIX. Fig. 40 is a plan view showing a state in which an acceleration sensor shown in Fig. 37 is held by the holding member. Fig. 41 is a circuit diagram showing a circuit for an acceleration sensor shown in Fig. 37 when it is used. Fig. 42 is an illustrative view showing a state that acceleration is given to an acceleration sensor shown in Fig. 37 in the direction perpendicular to the surface of the first vibrating body. Fig. 43 is an illustrative view showing a state that acceleration is given to an acceleration sensor shown in Fig. 37 in the direction perpendicular to the surface of the second vibrating body. Fig. 44 is a front view showing a twelveth embodiment of an acceleration sensor of the invention. Fig. 45 is a side view showing an acceleration sensor shown in Fig. 44. Fig. 46 is a sectional view showing a thirteenth embodiment of an acceleration sensor of the invention. Fig. 47 is a sectional view showing an acceleration sensor shown in Fig. 46 which is cut across the other side. Fig. 48 is a perspective view showing a fourteenth embodiment of an acceleration sensor of the invention. Fig. 49 is a sectional view showing an acceleration sensor shown in Fig. 48. Fig. 50 is a circuit diagram showing a circuit for an acceleration sensor shown in Fig. 48 when it is used. Fig. 51 is an illustrative view showing a vibrating state of an acceleration sensor shown in Fig. 48 at a given time. Fig. 52 is an illustrative view showing a vibrating state of an acceleration sensor shown in Fig. 48 at another given time. Fig. 53 is an illustrative view showing a state that acceleration is given to an acceleration sensor shown in Fig. 48 in the direction perpendicular to the surface of the first vibrating body. Fig. 54 is an illustrative view showing a state that acceleration is given to an acceleration sensor shown in Fig. 48 in the direction perpendicular to the surface of the second vibrating body. Fig. 55 is an illustrative view showing a fifteenth embodiment of an acceleration sensor of the invention. Fig. 56 is a sectional view showing a sixteenth embodiment of an acceleration sensor of the invention. Fig. 57 is a illustrative view showing an example of a conventional acceleration sensor which is a background of the invention. Fig. 58 is an illustrative view showing a state that acceleration is given to an acceleration sensor shown in Fig. 57. Fig. 1 is a perspective view showing an embodiment of the present invention, and Fig. 2 is a sectional view thereof. A piezoelectric vibrator 10 comprises a plate-shaped vibrating body 12. The vibrating body 12 is made of, for example, a constant elastic material such as elinvar, iron-nickel alloy, quartz, glass, crystal and ceramics. The vibrating body 12 is supported at both ends. Piezoelectric elements 14a, 14b, 14c and 14d are formed on opposite surfaces of the vibrating body 12. The piezoelectric elements 14a and 14b are formed on opposite surfaces of the vibrating body 12 at one side portion against longitudinal center portion of the vibrating body 12. The piezoelectric elements 14c and 14d are formed on opposite surfaces of the vibrating body 12 at the other side portion against longitudinal center portion of the vibrating body 12. The piezoelectric element 14a includes a piezoelectric plate 16a made of, for example, piezoelectric ceramics. Electrodes 18a and 20a are formed on both surfaces of the piezoelectric plate 16a. One electrode 20a of the piezoelectric element 14a is bonded to the vibrating body 12. Similarly, the piezoelectric elements 14b, 14c and 14d include piezoelectric plates 16b, 16c and 16d. On both surfaces of the piezoelectric plates 16b, 16c and 16d, electrodes 18b, 20b, electrodes 18c, 20c and electrodes 18d, 20d are formed. The electrodes 20b, 20c, 20d of the piezoelectric elements 14b, 14c, 14d are bonded to the vibrating body 12. In this embodiment, the piezoelectric plates 16a and 16b are polarized from outside toward the vibrating body 12 side, and piezoelectric plates 16c and 16d are polarized from the vibrating plate 12 side toward outside. For vibrating the piezoelectric vibrator 10, an oscillation circuit 22 is connected to the piezoelectric elements 14a-14d as shown in Fig. 3. Driving signals having the same phase are applied to the piezoelectric elements 14a-14d from the oscillation circuit 22. The piezoelectric elements 14a and 14b are formed to be opposite to each other with the vibrating body 12 between them, and the piezoelectric elements 14c and 14d are formed to be opposite to each other with the vibrating body 12 between them. Hence, when driving signals are applied to the piezoelectric elements 14a-14d, the vibrating body 12 vibrates in a longitudinal direction. Since the piezoelectric elements 14a, 14b and piezoelectric elements 14c, 14d are polarized in the inverse situation, as shown in Fig. 4(A)-Fig. 4(E), when one side of the vibrating body 12 against longitudinal center portion expands, the other side of the vibrating body 12 contracts. When one side of the vibrating body 12 against longitudinal center portion contracts, the other side of the vibrating body 12 expands. Therefore, even when the vibrating body 12 is vibrating, the both end portions of the vibrating body 12 are not displaced. When the length of the vibrating body 12 is taken as L, its density is taken as ρ, and the Young's modulus is taken as E, the resonance frequency f is represented by the following formula. f = 1 2L E ρ The frequency characteristics of phase and impedance of piezoelectric vibrator 10 are shown in Fig. 5. As shown from Fig. 5, the piezoelectric vibrator 10 has fine resonance characteristics, and is well usable as an resonator. Even when the vibrating body 12 is vibrating, the displacement of the both end portions of the vibrating body 12 is offset since the expanding portion and the contracting portion exist in the vibrating body 12. Hence, the overall length of the vibrating body 12 is almost constant, and the vibration leakage from the supporting portion is reduced by supporting the vibrating body 12 at the both ends. Even if an external force is applied to the supporting portions, there is less influences on the vibration of the vibrating body 12 since the supporting portions have no displacement. As shown from the above formula, in the piezoelectric vibrator 10, the resonance frequency is adjustable by adjusting the overall length of the vibrating body 12. For example, when both ends of the vibrating body 12 is cut to make the overall length of the vibrating body 12 smaller, it is possible to increase the resonance frequency. As shown from Fig. 6, if any groove 30 extending laterally is formed at the central portion of the vibrating body 12, it is possible to increase the surface length of the vibrating body 12 and decrease the resonance frequency. In the above embodiment, the piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d are polarized in the inverse situation, but it is possible to polarize all piezoelectric elements 14a-14d in the same situation. That is, the piezoelectric elements 14a-14d may be polarized from outside toward the vibrating body 12 side, and the piezoelectric elements 14a-14d may be polarized from the vibrating body 12 side toward outside. In this case, by applying driving signals having inverse phases to the piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d, it is possible to vibrate the vibrating body 12 in such a manner that longitudinal expansion and contraction take place inversely on both sides of the center portion of the vibrating body 12. As shown in Fig. 7, two piezoelectric elements 32 and 34 may be formed on both surfaces of the vibrating body 12. The piezoelectric element 32 includes a piezoelectric plate 36. Two electrodes 38a and 38b are formed on one surface of the piezoelectric plate 36, and an electrode 40 is formed on all of the other surface of the piezoelectric plate 36. The electrode 40 is bonded to the vibrating body 12. Similarly, the piezoelectric element 34 includes a piezoelectric plate 42, and electrodes 44a, 44b and an electrode 46 are formed on both surfaces of the piezoelectric plate 42. The electrode 46 is bonded to the vibrating body 12. In the piezoelectric elements 32 and 34, the piezoelectric plates 36 and 42 are polarized, for example, from outside toward the vibrating body 12 side. The driving signals are inverted in polarity in a circuit of Fig. 7, and the driving signals applied to the electrodes 38a, 44a and the driving signals applied to the electrodes 38b, 44b have inverse phase. Needless to say, when such a circuit is used, the piezoelectric plates 36 and 42 may be polarized from the the vibrating body 12 side toward outside. In the piezoelectric vibrator 10 shown in the above embodiments, it is not always necessary to support the vibrating body 12 at both ends, and, for example, the vibrating body 12 may be supported at the inward portions approximately 1/4 from both ends. There is no displacement at this point, and it is possible to prevent vibration leakage from the supporting portions. The number of piezoelectric elements is not necessarily four and, as shown in Fig. 8, six piezoelectric elements 50a, 50b, 50c, 50d, 50e and 50f may be formed. The piezoelectric elements 50c and 50d are formed to be opposite to each other at the center portion of the vibrating body 12, and the piezoelectric elements 50a, 50b and the piezoelectric elements 50e, 50f are formed to be opposite to each other at both side portions of the piezoelectric elements 50c, 50d. The length of the piezoelectric elements 50c, 50d is adjusted to be approximately twice the length of the piezoelectric elements 50a, 50b, 50e, 50f in the vibrating direction. In the piezoelectric vibrator 10, the piezoelectric elements 50a, 50b, 50e, 50f are polarized from outside toward the vibrating body 12 side, and the piezoelectric elements 50c, 50d are polarized from the vibrating body 12 side toward outside. Needless to say, the polarizing direction of the piezoelectric elements 50a-50f may be inverse situation. When driving signals having the same phase are applied to the piezoelectric elements 50a-50f, the vibrating body 12 vibrates in such a manner that longitudinal expansion and contraction take place inversely at both portions of approximately 1/4 from both ends as shown with arrow in Fig. 8. In such piezoelectric vibrator 10, it is possible to support the vibrating body 12 at both ends or at the center portion, and it is possible to prevent vibration leakage. In the piezoelectric vibrator 10, as compared with the piezoelectric vibrator shown in Fig. 1, reaction resulting from shifting of gravity can be offset. It is possible to polarize all of the piezoelectric elements 50a-50f in the same situation and make the driving signals to be applied to the piezoelectric elements 50a, 50b, 50e, 50f and the piezoelectric elements 50c, 50d in inverse phase. In the above embodiments, though the rectangular plate-shaped vibrating body 12 is used, a prism-shaped vibrating body or cylindrical vibrating body may be used, and piezoelectric elements may be formed to be opposite to each other with a vibrating body between them. As shown in Fig. 9, it is possible to use a disk-shaped vibrating body 12. In this case, the piezoelectric elements 14a-14d are formed in a concentric circle-shape. The piezoelectric elements 14a, 14b are formed to be opposite to each other with the vibrating body 12 between them, and the piezoelectric elements 14c, 14d are formed to be opposite to each other with the vibrating body 12 between them. The piezoelectric vibrator 10 vibrates in diametrical direction as shown in Fig. 10. The vibrating body 12 vibrates in such a manner that expansion and contraction take place at the both portions of half circle as the center. Hence, no displacement occurs in the outer circle of the vibrating body 12, and the vibrating body 12 can be supported at the outer circle. Thus, many shape of the vibrating body 12 may be used such as plate-shape or prism-shape. In the above embodiments, as shown in Fig. 11, the vibrating body 12 may be made of piezoelectric ceramics. In this case, electrodes 60a, 60b, 60c and 60d are formed at the same position as the piezoelectric elements 14a-14d. By applying driving signals having inverse phase to the electrodes 60a, 60b and the electrodes 60c, 60d, it is possible to vibrate the vibrating body 12 in such a manner that expansion and contraction take place simultaneously. The vibrating body 12 may be polarized partially in an inverse direction. For example, a part where is put between the electrodes 60a and 60b is polarized from the electrode 60a side toward the electrode 60b side, and a part where is put between the electrodes 60c and 60d is polarized from the electrode 60d side toward the electrode 60c side. In this case, by applying driving signals having the same phase to the electrodes 60a, 60b and the electrodes 60c, 60d, it is possible to vibrate the vibrating body 12 in such a manner that expansion and contraction take place simultaneously. Similarly, in the case of piezoelectric vibrator having the shapes as shown in Fig. 6, Fig. 8 and Fig, 9, the vibrating body may be made of piezoelectric ceramics, and electrodes may be formed instead of piezoelectric elements at the same places. In the piezoelectric vibrator of the present invention, the vibrating body 12 can be manufactured by micro-machining, etching or press-molding, and piezoelectric vibrator having good productivity can be obtained. By using the piezoelectric vibrator 10, an acceleration sensor can be manufactured as shown in Fig. 12 and Fig. 13. In this embodiment, the piezoelectric vibrator shown in Fig. 1 and Fig. 2 is used. In the acceleration sensor 100, weights 102 are attached to the center portion of the vibrating body 12. Piezoelectric elements 14a and 14b are formed on the opposite surfaces of the vibrating body 12 at one side portion of the weights 102. Piezoelectric elements 14c and 14d are formed on the opposite surfaces of the vibrating body 12 at the other side portion of the weights 102. The vibrating body 12 is supported at both ends by a frame 104 as supporting means. The frame 104 is formed, for example, in a square loop shape, and the vibrating body 12 is arranged at the center of the frame 104. The vibrating body 12 may be supported by other means if it is proper for supporting the vibrating body 12. When the acceleration sensor 100 is used, as shown in Fig. 14, an oscillation circuit 110 is connected to piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d via resistors 108a, 108b, 108c and 108d. By the driving signal from the oscillation circuit 110, as indicated with solid line arrow in Fig. 12, when one side of the vibrating body 12 expands, the other side of the vibrating body 12 contracts with the weights 102 as a center. When one side of the vibrating body 12 contracts, the other side of the vibrating body 12 expands as indicated by the one dot chain line arrow in Fig. 12. In such a way, the vibrating body 12 vibrates in a longitudinal direction. Hence, the displacement of the both sides of the vibrating body 12 is offset, and both ends of the vibrating body 12 are not displaced, and resulting in less vibration leakage from the vibrating body 12 to the frame 104. Therefore, stabilized vibration can be obtained. By vibrating the vibrating body 12, inertia is applied to the vibrating body 12 and the weights 102. When acceleration is applied to the vibrating body 12 perpendicular to its surface, the vibrating body 12 is bent as shown in Fig. 15. By the bending of the vibrating body 12, voltages are generated in the piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d. Therefore, acceleration can be detected by measuring the voltages. For detecting the acceleration, the voltages generated in the piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d are measured. For this purpose, as shown in Fig. 14, the piezoelectric elements 14a, 14b are connected to a differential circuit 112, and the piezoelectric elements 14c, 14d are connected to the differential circuit 114. However, it is not necessary to use two differential circuits, and either differential circuit 112 or 114 may be connected to the piezoelectric elements. By connecting the opposed piezoelectric elements 14a, 14b to the differential circuit 112, the driving signals are offset and only the output signals corresponding to acceleration can be measured. Since the piezoelectric elements 14a and 14b are polarized from outside toward inside, voltages having inverse phase are generated according to the bending of the vibrating body 12. Hence, a large output can be obtained from the differential circuit 112 when the difference of the output voltages of the piezoelectric elements 14a, 14b is measured, and resulting in high sensitivity. It is possible to increase the bending of the vibrating body 12 due to acceleration with the weights 102, and if the weights 102 are adjusted according to the detection range of acceleration, further improved sensitivity can be obtained. In the acceleration sensor 100, since vibration is applied to the weights 102, the acceleration sensor 100 has high responsivity and high sensitivity. Since the vibrating body 12 is supported at both ends, the acceleration sensor 100 having high impact resistance and less in damage can be obtained. Hence, when the acceleration sensor 100 is mounted on a car, the acceleration sensor 100 has no damage due to unevenness of the road, and can detect acceleration by the car with high sensitivity. The vibrating body 12 can be made by stamping or etching easily and at a low cost. In the above embodiment, though the output voltages of piezoelectric elements 14a, 14b or the piezoelectric elements 14c, 14d are applied to the differential circuit, the difference between the output voltages of the piezoelectric elements 14a, 14b which are formed at the same surface or the output voltages of piezoelectric elements 14c, 14d may be measured. The four piezoelectric elements 14a, 14b, 14c, 14d may be connected to form a bridge circuit or the like for detecting acceleration. Though the piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d are polarized in a inverse situation, these piezoelectric elements may be polarized in the same situation. In this case, driving signals having inverse phase are applied to the piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d. In this way, the vibration described in the above embodiment can be obtained. When this driving method is used, the voltages generated between the piezoelectric elements 14a and 14c on the same surface have the same phase, as well as the voltages generated between the piezoelectric elements 14b, 14d. Hence, when the output signals of the piezoelectric elements on the same surface are used for measuring, a large output can be obtained by using a cumulative circuit. Since the driving signals to be applied to the piezoelectric elements have inverse phases, these signals are offset by means of the cumulative circuit. Further, the number of the piezoelectric elements is not necessarily four and, for example, only opposed two piezoelectric elements 14a and 14b may be formed. As such, vibration as described above can be obtained if a pair of opposed piezoelectric elements are formed on the both surfaces of the vibrating body 12. Needless to say, it is possible to make an acceleration sensor 100 by using the vibrating body shown in Fig. 11. In this case, weights 102 are formed at the center portion of the vibrating body 12 made of piezoelectric material as shown in Fig. 16, and electrodes 60a, 60b, 60c, 60d are formed on both surfaces of the vibrating body 12. And the vibrating body 12 vibrates in such a manner that longitudinal expansion and contraction take place simultaneously by applying driving signals having inverse phase to the electrodes 60a, 60b and the electrodes 60c, 60d. When acceleration is given to the acceleration sensor 100 perpendicular to the surface of the vibrating body 12, the vibrating body 12 is bent, and output signals corresponding to the acceleration can be obtained from the electrodes 60a-60d. The vibrating body 12 may be polarized partially in an inverse direction. For example, a part where is put between the electrodes 60a and 60b is polarized from the electrode 60a side toward the electrode 60b side, and a part where is put between the electrodes 60c and 60d is polarized from the electrode 60d side toward the electrode 60c side. In this case, by applying driving signals having the same phase to the electrodes 60a, 60b and the electrodes 60c, 60d, it is possible to vibrate the vibrating body 12 in such a manner that expansion and contraction take place simultaneously. Weights 120 may be attached to both longitudinal ends of the vibrating body 12 as shown in Fig. 17 and Fig. 18. The weights 120 are formed to be opposite to both faces of, for example, a frame 104. The frame 104 is supported at the supporting portions 122a, 122b where is corresponding to the longitudinal center of the vibrating body 12. That is, these supporting portions 122a, 122b are positioned at the center of the parts of frame 104 which are parallel to the vibrating body 12. In this acceleration sensor 100 too, the vibrating body 12 can be vibrated by using the circuit shown in Fig. 14. When acceleration is given to the acceleration sensor 100 perpendicular to the surface of the vibrating body 12, the vibrating body 12 is bent as shown in Fig. 19 and Fig. 20. When the vibrating body 12 bends, the frame 104 is deformed with the supporting portions 122a, 122b as the center by the mass of the weights 120 attached to the both longitudinal ends of the vibrating body 12. The bending of the vibrating body 12 due to acceleration is increased by the deformation of the frame. This bending interfere with vibration of the vibrating body 12, and resulting in variation of the resonance characteristics. By measuring the variation of resonance characteristics, acceleration can be detected. In order to detect the acceleration, the difference between the output signals of the piezoelectric elements 14a, 14b or the difference between the output signals of the piezoelectric elements 14c, 14d is measured like as the acceleration sensor shown in Fig, 12 and Fig. 13. Such acceleration sensor 100 has high responsivity and high sensitivity. As shown in Fig. 21, piezoelectric elements 62a, 62b, 62c, 62d for detecting may be formed besides the piezoelectric elements 14a, 14b, 14c, 14d for driving. In the embodiment shown in Fig. 21, the piezoelectric elements 62a-62d for detecting are formed on the frame 104 side of the vibrating body 12. Acceleration given to the acceleration sensor 100 can be detected by measuring the voltages generated in the piezoelectric elements 62a-62d for detecting according to the bending of the vibrating body 12 due to the acceleration. As shown in Fig. 22, the piezoelectric elements 14a, 14c for driving may be formed on one surface of the vibrating body 12, and a piezoelectric element 64 for detecting may be formed on the other surface of the vibrating body 12. In this case, the piezoelectric element 64 for detecting is formed to be symmetric with respect to the longitudinal center of the vibrating body 12. In the acceleration sensor 100, an oscillation circuit 110 is connected to the piezoelectric elements 14a, 14c for driving and the vibrating body 12 is vibrated. When the vibrating body 12 of the acceleration sensor 100 does not bend, the voltage generated in the piezoelectric element 64 for detecting is offset because expansion and contraction take place inversely at both sides of the central portion of the piezoelectric element 64 for detecting. When, the vibrating body 12 bends by the acceleration, difference of bending occures between both side portions of the center of the piezoelectric element 64 for detecting, and output voltage which is not offset is obtained. Hence, the acceleration can be detected by measuring the output voltage of the piezoelectric element 64 for detecting. In the above embodiments, though the vibrating body or the frame made of metallic material or the like is used, these may be made of piezoelectric ceramics as shown in Fig. 23. In this case, electrodes 60a-60d are formed instead of the piezoelectric elements on the vibrating body like as the acceleration sensor shown in Fig. 16. By applying driving signals having inverse phase to the electrodes 60a, 60b and the electrodes 60c, 60d, it is possible to vibrate the vibrating body in such a manner that longitudinal expansion and contraction take place simultaneously. By measuring the output signals from the electrodes, it is possible to detect the acceleration. The vibrating body 12 may be polarized partially in an inverse direction. For example, a part where is put between the electrodes 60a and 60b is polarized from the electrode 60a side toward the electrode 60b side, and a part where is put between the electrodes 60c and 60d is polarized from the electrode 60d side toward the electrode 60c side. In this case, by applying driving signals having the same phase to the electrodes 60a, 60b and the electrodes 60c, 60d, it is possible to vibrate the vibrating body 12 in such a manner that expansion and contraction take place simultaneously. Similarly, in the case of acceleration sensor having a shape as shown in Fig. 21 and Fig. 22, the vibrating body may be made of a piezoelectric ceramics and electrodes may be formed instead of the piezoelectric elements. The vibrating body 12 is not always necessarily fixed to the frame, and may be a cantilever structure as shown in Fig. 24. In this case, a weight 120 is attached to one longitudinal end of the vibrating body 12. In such acceleration sensor 100, the vibrating body 12 is bent by acceleration, and an output corresponding to the bending can be obtained. Fig. 25 is a plan view showing an acceleration sensor which can detect accelerations in a plurality of directions. An acceleration sensor 100 includes, for example, a vibrating body 12 formed in a regular rectangular prism shape. At one longitudinal end side of the vibrating body 12, piezoelectric elements 14a, 14b for driving are formed on the opposite surfaces of the vibrating body 12 as shown in Fig. 26. At the other longitudinal end side of the vibrating body 12, the other piezoelectric elements 14c, 14d for driving are formed on the surfaces on which the piezoelectric elements 14a, 14b for driving are formed. In the piezoelectric elements 14a-14d for driving, the piezoelectric plates 16a, 16b are polarized from outside toward the vibrating body 12 side, and the piezoelectric plates 16c, 16d are polarized from the vibrating body 12 side toward outside. Piezoelectric elements 66a, 66b for detecting are formed on the surfaces on which the piezoelectric elements 14a, 14b for driving are formed. The piezoelectric elements 66a, 66b for detecting are formed adjacent to the piezoelectric elements 14a, 14b for driving and formed at one end side of the vibrating body 12. On the surfaces on which the piezoelectric elements 66a, 66b for detecting are not formed, the other piezoelectric elements 66c, 66d for detecting are formed as shown in Fig. 27. The piezoelectric elements 66c, 66d for detecting are formed at one longitudinal end side of the vibrating body 12. The piezoelectric elements 66a, 66b, 66c, 66d for detecting include piezoelectric plates 68a, 68b, 68c, 68d. On both faces of the piezoelectric plates 68a, 68b, 68c, 68d, electrodes 70a, 72a, electrodes 70b, 72b, electrodes 70c, 72c and electrodes 70d, 72d are formed respectively. The electrodes 72a, 72b, 72c, 72d on one surface of these piezoelectric plates 66a, 66b, 66c, 66d for detecting are bonded to the side faces of the vibrating body 12. In the piezoelectric elements 66a, 66b, 66c, 66d, the piezoelectric plates 68a, 68b, 68c, 68d are polarized, for example, from outside toward the vibrating body 12 side. In the acceleration sensor 100, for example, one end of the vibrating body 12 is supported, and a weight 120 is attached to the other end of the vibrating body 12. Hence, in this embodiment, the vibrating body 12 has a cantilever structure. When the acceleration sensor 100 is used, an oscillation circuit 110 is connected to the piezoelectric elements 14a-14d for driving as shown in Fig. 28. By the oscillation circuit 110, the vibrating body 12 vibrates in a longitudinal direction as indicated with arrow in Fig. 25. When, acceleration is given to the acceleration sensor 100, for example, perpendicular to the surfaces of the piezoelectric elements 66a, 66b for detecting, the vibrating body 12 bends in the direction perpendicular to the surfaces of the piezoelectric elements 66a, 66b for detecting as shown in Fig. 29. Bending of the vibrating body 12 interferes with the vibration of the vibrating body 12, and resulting in variation of the resonance characteristics. By measuring the variation of resonance characteristics, acceleration can be detected. In order to detect the acceleration, the voltages generated in the piezoelectric elements 66a, 66b for detecting are measured. In order to detect the acceleration perpendicular to the surfaces of the piezoelectric elements 66c, 66d for detecting, the voltages generating in the piezoelectric elements 66c, 66d for detecting are measured. For detecting the acceleration, as shown in Fig. 30, the piezoelectric elements 66a, 66b for detecting are connected to the differential circuit 112, and the other piezoelectric elements 66c, 66d for detecting are connected to the other differential circuit 114. Since the piezoelectric elements 66a-66d are polarized from outside toward the vibrating body 12 side, the voltages having the same magnitude and the same phase are generated in the piezoelectric elements 66a-66d when no acceleration is given to the acceleration sensor 100. Therefore, the outputs from the differential circuit 112 and 114 are zero. When acceleration is given to the acceleration sensor 100 and the vibrating body 12 is bent, voltages having the inverse phase are generated in the opposed piezoelectric elements. Hence, by measuring the difference between output voltages of the opposed piezoelectric elements 66a, 66b for detecting, a large output signal can be obtained from the differential circuit 112. Therefore, the acceleration in the direction perpendicular to the surfaces of the piezoelectric elements 66a, 66b for detecting can be detected with a high sensitivity. Similarly, by measuring the difference between the output voltages of the piezoelectric elements 66c, 66d for detecting, the acceleration in the direction perpendicular to the surfaces of the piezoelectric elements 66c, 66d for detecting can be detected with a high sensitivity. When the acceleration not perpendicular to the surfaces of the piezoelectric elements 66a-66d is given to the accelerlation sensor, the vibrating body 12 bends in the direction along which acceleration is given. The voltages corresponding to the bending of the vibrating body 12 are generated in the piezoelectric elements 66a-66d for detecting. That is, voltages generated in the piezoelectric elements 66a-66d for detecting correspond to the acceleration components in the direction perpendicular to the surfaces of the piezoelectric elements 66a-66d. Therefore, the accelerations in all directions perpendicular to the center axis can be detected by measuring the output signals from the differential circuits 112 and 114. The piezoelectric elements 66a-66d for detecting are not necessarily essential, and the piezoelectric elements 14a-14d for driving may be used for detecting. In this case, as shown in Fig. 31, Fig. 32 and Fig. 33, the piezoelectric elements 14a, 14b for driving and the piezoelectric elements 14c, 14d for driving are formed on different opposite surfaces of the vibrating body 12. The piezoelectric elements 14a, 14b for driving are formed at one end side of the vibrating body 12, and the piezoelectric elements 14c, 14d for driving are formed at the other end side of the vibrating body 12. In the acceleration sensor 100, the piezoelectric elements 14a, 14b for driving and the piezoelectric elements 14c, 14d for driving are polarized in the inverse situation. As shown in Fig. 34, an oscillation circuit 110 is connected to the piezoelectric elements 14a-14d for driving via the resistors 108a, 108b, 108c, 108d. By the signal from the oscillation circuit 110, the vibrating body 12 vibrates in a longitudinal direction. By applying the signals having the same phase to the piezoelectric elements 14a-14d for driving, the vibrating body 12 vibrates in such a manner that longitudinal expansion and contraction take place inversely on both sides of the center portion of the vibrating body 12. The piezoelectric elements 14a, 14b for driving are connected to the input terminal of the differential circuit 112, and the piezoelectric elements 14c, 14d for driving are connected to the input terminal of the differential circuit 114. When acceleration is given to the acceleration sensor 100 and the vibrating body 12 is bent, a voltage is generated in each piezoelectric elements 14a-14d. By measuring the differences between these voltages by the differential circuits 112 and 114, the acceleration given to the acceleration sensor 100 can be detected. The driving signals applied to the piezoelectric elements 14a-14d are offset in the differential circuits 112 and 114. Therefore, only the output signals corresponding to the acceleration are obtained from the output terminals of the differential circuits 112 and 114. In the above embodiment, the vibrating body 12 is not necessarily of the cantilever structure, and may be the structure that both ends of the vibrating body 12 are supported. In this case, for example, the vibrating body 12 is supported with a frame or the like. Thus, even if the vibrating body 12 has a structure that the vibrating body 12 is supported at both ends, vibration leakage is small because the both end portions of the vibrating body 12 do not displace. Therefore, an acceleration sensor having excellent characteristics can be obtained. In the acceleration sensor having a structure that the vibrating body 12 is supported at both ends, weights may be formed at both ends of the vibrating body 12. In this way, when the vibrating body 12 bends, bending can be increased by the mass of the weight, and the acceleration sensor having a high sensitivity can be obtained. In the above embodiments, though the piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d are polarized in the inverse situation, all piezoelectric elements 14a-14d may be polarized in the same situation. That is, the piezoelectric elements 14a-14d may be polarized from outside toward the vibrating body 12 side, and may be polarized from the vibrating body 12 side toward outside. In such case, the driving signals applied to the piezoelectric elements 14a, 14b and the driving signals applied to the piezoelectric elements 14c, 14d have inverse phase. In this way, the vibrating body 12 can be vibrated in such a manner that longitudinal expansion and contraction take place inversely at both sides of the center portion of the vibrating body 12. As to the shape of the vibrating body 12, it may be any of the polygonal prism shape such as hexagonal prism shape or octagonal prism shape or columner shape. With any of such columner shape or prism shape, acceleration can be detected if the piezoelectric elements for driving are formed at opposite side faces and the piezoelectric elements are formed at a plurality of positions along its periphery. As shown in Fig. 35 and Fig. 36, the vibrating body may be made of a piezoelectric ceramics. In this case, electrodes 60a, 60b, 60c, 60d for driving and electrodes 124a, 124b, 124c, 124d for detecting are formed instead of the piezoelectric elements. The vibrating body 12 can be vibrated by applying the driving signals having inverse phase to the electrodes 60a, 60b for driving and the electrodes 60c, 60d for driving. By measuring the output voltages from the electrodes 124a-124d for detecting, acceleration can be detected. The vibrating body 12 may be polarized partially in an inverse direction. For example, a part where is put between the electrodes 60a and 60b is polarized from the electrode 60a side toward the electrode 60b side, and a part where is put between the electrodes 60c and 60d is polarized from the electrode 60d side toward the electrode 60c side. In this case, by applying driving signals having the same phase to the electrodes 60a, 60b for driving and the electrodes 60c, 60d for driving, it is possible to vibrate the vibrating body 12 in such a manner that expansion and contraction take place simultaneously. When the vibrating body 12 is made of piezoelectric ceramics, the shape of the electrode is not necessarily plate-shape, and may be, for example, a comb-like. Similarly, in the acceleration sensor having a shape shown in Figs. 31-33, the vibrating body may be made of piezoelectric ceramics, and electrodes may be formed instead of the piezoelectric elements. In the case of the acceleration sensor having a shape shown in Figs. 31-33, when the vibrating body is made of piezoelectric ceramics, electrodes are formed instead of the piezoelectric elements 14a-14d. The vibrating body is polarized partially in a different direction. That is, the vibrating body is polarized in the direction perpendicular to the opposed electrodes. Therefore, the vibrating body has two parts where are polarized at a right angle with each other. In such acceleration sensor, by applying driving signals to the electrodes, the vibrating body can be vibrated such that longitudinal expansion and contraction take place simultaneously. The phase of driving signals is decided by the polarizing direction of the vibrating body and connecting mode of oscillation circuit. Fig. 37 is a perspective view showing another example of an acceleration sensor which can detect accelerations in a plurality of directions, and Fig. 38 and Fig. 39 are the sectional views taken along the lines XXXVIII-XXXVIII and XXXIX-XXXIX respectively. The acceleration sensor 100 includes a first vibrating body 12a in a rectangular plate shape. A second vibrating body 12b in a rectangular plate shape is formed at a longitudinal end of the first vibrating body 12a. The first vibrating body 12a and the second vibrating body 12b are arranged so that the surface of the first vibrating body 12a and the surface of the second vibrating body 12b are crossed at the right angle on one central axis. The first vibrating body 12a and the second vibrating body 12b may be connected, for example, by welding or soldering. The connected first vibrating body 12a and second vibrating body 12b may be formed by stamping the metal plate and by twisting it at the center. Piezoelectric elements 14a, 14b are formed on opposite surfaces of the first vibrating body 12a, and piezoelectric elements 14c, 14d are formed on opposite surfaces of the second vibrating body 12b. In the piezoelectric elements 14a-14d, piezoelectric plates 16a, 16b are polarized from outside toward the first vibrating body 12a side, and piezoelectric plates 16c, 16d are polarized from the second piezoelectric body 12b side toward outside. The first vibrating body 12a is supported with the first frame 104a. The first frame 104a is formed in a U-shape, and the first vibrating body 12a is fixed to the center portion of the first frame 104a. The first vibrating body 12a is connected with the first frame 104a at both width ends. Hence, a hole 126a is made at the connecting part of the first vibrating body 12a and the first frame 104a. Weights 120 are formed at the end portion of the first vibrating body 12a. Similarly, the second vibrating body 12b is supported with the second frame 104b. The second frame 104b is formed in a U-shape, and the second vibrating body 12b is fixed to the center portion of the second frame 104b. The second vibrating body 12b is connected with the second frame 104b at both width ends. Hence, a hole 126b is made at the connecting part of the second vibrating body 12b and the second frame 104b. Weights 120 are formed at the end portion of the second vibrating body 12b. As shown in Fig. 40, the first frame 104a and the second frame 104b are held by a ring-shaped holding member 128. At the position corresponding to the connecting part of the first vibrating body 12a and the second vibrating body 12b, each frame 104a, 104b is held by the holding member 128. When the acceleration sensor 100 is used, as shown in Fig. 41, an oscillation circuit 110 is connected to the piezoelectric elements 14a, 14b, 14c, 14d via resistors 108a, 108b, 108c, 108d. The piezoelectric elements 14a, 14b are connected to the first differential circuit 112, and the piezoelectric elements 14c, 14d are connected to the second differential circuit 114. When the acceleration sensor 100 is used, the driving signal having the same phase is applied to the piezoelectric elements 14a, 14b, 14c, 14d. Then, each vibrating body 12a, 12b is vibrated in a longitudinal direction. As indicated with the solid line arrow in Fig. 37, when the first vibrating body 12a expands, the second vibrating body 12b contracts. Also, as indicated with the one dot chain line arrow in Fig. 37, when the first vibrating body 12a contracts, the second vibrating body 12b expands. Hence, displacement at the both ends of the vibrating bodies 12a, 12b is offset, and the vibration leakage to the frames 104a, 104b is small because the end of the frame side of each vibrating body 12a, 12b does not displace. Therefore, a stabilized vibration can be obtained. By vibrating the first vibrating body 12a and the second vibrating body 12b, inertia is applied to the vibrating bodies 12a, 12b. When acceleration is given to, for example, the acceleration sensor 100 perpendicular to the surface of the first vibrating body 12a, the first vibrating body 12a bends in a direction perpendicular to its surface as shown in Fig. 42. In this time, since acceleration is given to the second vibrating body 12b in a width direction, the second vibrating body 12b does not bend. Since one longitudinal end of the second vibrating body 12b is supported at both width ends with the second frame 104b, swing of the second vibrating body 12b is prevented as compared with the case, for example, of being supported at the center of the second vibrating body 12b. For preventing the swing of the second vibrating body 12b in a width direction, the whole end portion of the second vibrating body 12b may be supported with the second frame 104b. In this case, the hole 126b is not made. Bending of the first vibrating body 12a interferes with the vibration of the first vibrating body 12a, and resulting in variation of the resonance characteristics. By measuring the variation of resonance characteristics, acceleration can be detected. In order to detect the acceleration, the voltages generated in the piezoelectric elements 14a, 14b are measured. The output voltages of the piezoelectric elements 14a, 14b are measured by the first differential circuit 112. When no acceleration is given to the acceleration sensor 100, the same voltage having the same phase is generated in each piezoelectric element 14a, 14b. Hence, the output of the first differential circuit 112 becomes zero. When acceleration is given to the acceleration sensor 100 and the first vibrating body 12a is bent, voltages having the inverse phase are generated in the opposed piezoelectric elements 14a, 14b. By measuring the difference between the output voltages of the opposed piezoelectric elements 14a, 14b, a high output voltage can be obtained from the first differential circuit 112. Therefore, the acceleration in the direction perpendicular to the surface of the first vibrating body 12a can be detected with a high sensitivity. The driving signal applied to the piezoelectric elements 14a, 14b is offset in the first differential circuit 112, the output signal from the first differential circuit 112 does not contain the driving signal. When acceleration is given to, for example, the acceleration sensor 100 perpendicular to the surface of the second vibrating body 12b, the second vibrating body 12b bends in a direction perpendicular to its surface, as shown in Fig. 43. The acceleration can be detected by measuring the difference between the output voltages generated in the piezoelectric elements 14c, 14d. In this time, since acceleration is given to the first vibrating body 12a in a width direction, one longitudinal end of the first vibrating body 12a is supported at both width ends with the first frame 104a for preventing the swing of the first vibrating body 12a due to the acceleration. Needless to say, the whole end portion of the first vibrating body 12a may be supported with the first frame 104a. In this case, the hole 126a is not formed. When acceleration which is not perpendicular to the surfaces of the first vibrating body 12a and the second vibrating body 12b is given to the acceleration sensor 100, the vibrating bodies 12a and 12b are deformed corresponding to the acceleration components perpendicular to the surfaces of the vibrating bodies 12a, 12b. Therefore, from the first differential circuit 112 and the second differential circuit 114, signals corresponding to the acceleration components perpendicular to the surfaces of the vibrating bodies 12a, 12b can be obtained. From these output signals, the accelerations in all directions perpendicular to the center axis of the first vibrating body 12a and the second vibrating body 12b can be detected. In the acceleration sensor 100, since weights 120 are formed at the end portions of the vibrating bodies 12a, 12b, when the first vibrating body 12a or the second vibrating body 12b is bent, the bending is enlarged by the mass of the weights 120. Therefore, even when a minute acceleration is given to the acceleration sensor, the large output signal can be obtained, and the acceleration sensor having high detection sensitivity can be obtained. In the acceleration sensor 100, the vibrating bodies 12a, 12b are formed in a plate-shape, large bending against the acceleration can be obtained as compared with the vibrating body formed in a prism shape. Therefore, as compared with the acceleration sensor using a prism-shaped vibrating body, the large output signal against the acceleration can be obtained, and resulting in a high sensitivity. As shown in Fig. 44 and Fig. 45, it is possible to form another piezoelectric elements 66a, 66b and another piezoelectric elements 66c, 66d to the first vibrating body 12a and the second vibrating body 12b. The piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d are used for driving, and the piezoelectric elements 66a, 66b and the piezoelectric elements 66c, 66d are used for detecting. In this case, by measuring the output voltages of the piezoelectric elements 66a, 66b and the piezoelectric elements 66c, 66d, the acceleration given to the acceleration sensor 100 can be detected. In such acceleration sensor, it is possible to polarize all piezoelectric elements 14a-14d in the same situation. That is, the piezoelectric elements 14a, 14b, 14c, 14d may be polarized from outside toward the vibrating body side, and the piezoelectric elements 14a, 14b, 14c, 14d may be polarized from the vibrating body side toward outside. In such cases, the driving signals applied to the piezoelectric elements 14a, 14b and the driving signals applied to the piezoelectric elements 14c, 14d have inverse phases. In this way, the first vibrating body 12a and the second vibrating body 12b can be vibrated in such a manner that longitudinal expansion and contraction take place inversely. As the material of the vibrating body 12a and 12b, piezoelectric ceramics may be used. In this case, as shown in Fig. 46 and Fig. 47, electrodes 60a, 60b, 60c, 60d are formed instead of the piezoelectric elements. The vibrating body 12a is polarized in a direction perpendicular to the electrodes 60a, 60b, and the vibrating body 12b is polarized in a direction perpendicular to the electrodes 60c, 60d. By applying the driving signals to the electrodes 60a, 60b and to the electrodes 60c, 60d, it is possible to vibrate the vibrating bodies 12a, 12b in such a manner that longitudinal expansion and contraction take place simultaneously. The phase of driving signals is decided by the polarizing direction of the vibrating body and connecting mode of the oscillation circuit. By measuring the output voltages of the electrodes 60a-60d, the acceleration can be detected. Similarly, as to the acceleration sensor having the shape as shown in Fig. 44 and Fig. 45, the vibrating bodies may be made of piezoelectric ceramics, and electrodes may be formed instead of the piezoelectric elements. The vibrating body 12a and the vibrating body 12b may not be cross at the right angle with each other. If the surfaces of the vibrating bodies 12a, 12b are crossed with each other, it is possible to detect the acceleration components perpendicular to the surfaces, and the accelerations in all directions can be calculated from the acceleration components and the angle between the vibrating bodies 12a and 12b. The number of the vibrating bodies is not always two, and more than three vibrating bodies may be connected on one center axis. In this case, if the direction of the surface of each vibrating body is made difference, the accelerations in a plurality of directions can be detected. Even in the case of the acceleration sensor using more than three vibrating bodies, it is possible to prevent the vibration leakage to the frame by vibrating the vibrating bodies in such a manner that longitudinal expansion and contraction take place inversely at the both sides of the center of the connected vibrating bodies. And the acceleration sensor having a high sensitivity can be obtained. Though the end portions of the vibrating bodies 12a, 12b are supported at both width ends with the frames 104a, 104b, the supporting method is not always limit to the method using the extending parts at both width ends of the vibrating bodies 12a, 12b in a longitudinal direction as shown in Fig. 37. For example, each of the vibrating bodies 12a, 12b may be supported with the frames 104a, 104b by extending diagonally from both width ends toward the frame. And, each of the vibrating bodies 12a, 12b may be supported with the frames 104a, 104b by extending in a width direction of the vibrating body from both width ends toward the frame. Though the frames 104a, 104b are formed in parallel on both sides of the vibrating bodies 12a, 12b, they may be formed on one side of the vibrating bodies 12a, 12b. Fig. 48 is a perspective view showing another embodiment of an acceleration sensor which can detect the accelerations in a plurality of directions, and Fig. 49 is its sectional view. An acceleration sensor 100 includes a rectangular plate-shaped first vibrating body 12a. At a longitudinal end of the first vibrating body 12a, a rectangular plate-shaped second vibrating body 12b is formed. The first vibrating body 12a and the second vibrating body 12b are arranged in the folding manner. The first vibrating body 12a and the second vibrating body 12b are connected at both width ends and at the center portion. Hence, two holes 130 are made side by side between the first vibrating body 12a and the second vibrating body 12b. The first vibrating body 12a and the second vibrating body 12b may be connected by, for example, welding or bonding. The first vibrating body 12a and the vibrating body 12b may be formed by stamping a metal plate and folding it at the center portion. Piezoelectric elements 14a, 14b are formed on opposite surfaces of the first vibrating body 12a. Piezoelectric elements 14c, 14d are formed on opposite surfaces of the second vibrating body 12b. In the piezoelectric elements 14a-14d, for example, piezoelectric plates 16a, 16b are polarized from outside toward the first vibrating body 12a side, and the piezoelectric plates 16c, 16d are polarized from the second vibrating body 12b side toward outside. The first vibrating body 12a is supported with a first frame 104a. The first frame 104a is formed in a U-shape, and the first vibrating body 12a is fixed to the center portion of the first frame 104a. A hole 126a is made at the connecting portion of first vibrating body 12a and the first frame 104a. Weights 120 are formed at the end side of the first vibrating body 12a. Similarly, the second vibrating body 12b is supported with a second frame 104b. The second frame 104b is formed in a U-shape, and the second vibrating body 12b is fixed to the center portion of the second frame 104b. A hole 126b is made at the connecting portion of second vibrating body 12b and the second frame 104b. Weights 120 are formed at the end side of the second vibrating body 12b. The first frame 104a and the second frame 104b are connected in a folding manner at a right angle with each other just like the first vibrating body 12a and the second vibrating body 12b. When the acceleration sensor 100 is used, the connecting portion between the first frame 104a and the second frame 104b is held. When the acceleration sensor 100 is used, as shown in Fig. 50, an oscillation circuit 110 is connected to the piezoelectric elements 14a, 14b, 14c and 14d via the resistors 108a, 108b, 108c and 108d. The piezoelectric elements 14a and 14b are connected to a first differential circuit 112, and the piezoelectric elements 14c and 14d are connected to a second differential circuit 114. When the acceleration sensor 100 is used, driving signals having a same phase are applied from the oscillation circuit 110 to the piezoelectric elements 14a, 14b, 14c and 14d. By the driving signals, as shown with the arrows in Fig. 51, when the first vibrating body 12a expands, the second vibrating body 12b contracts. As shown with the arrows in the Fig. 52, when the first vibrating body 12a contracts, the second vibrating body 12b expands. In this way, the first vibrating body 12a and the second vibrating body 12b vibrate in the longitudinal directions thereof. In this case, as shown with the arrows in Fig. 51 and Fig. 52, it is thinking that the vicinity of the connecting portion of the first vibrating body 12a and the second vibrating body 12b is displaced so as to fold and bend in the longitudinal directions of each vibrating bodies. Since the displacement of end portion of each vibrating body 12a, 12b is offset, and the end portion of each vibrating body 12a, 12b at the frame side is not displaced, and resulting in less vibration leakage to each frame 104a, 104b. Therefore, a stabilized vibration can be obtained. By vibrating the first vibrating body 12a and the second vibrating body 12b, inertia is applied to these vibrating bodies 12a and 12b. When an acceleration is given to the acceleration sensor 100 in the direction perpendiculqr to the surface of the first vibrating body 12a under this condition, as shown in Fig. 53, the first vibrating body 12a bends in the direction perpendicular to its surface. In this case, since the acceleration is applied in the longitudinal direction of the second vibrating body 12b, the second vibrating body 12b does not bend. Since the second vibrating body 12b is supported at both width ends with the second frame 104b, swing of the second vibrating body 12b in the width direction is prevented as compared with the case of being supported at the center of the second vibrating body 12b. Since the first vibrating body 12a and the second vibrating body 12b are connected at both width ends and at the center portions, as compared with a case of connecting at only the center portions, twist at the connecting portions can be prevented. In order to prevent a width swing of the second vibrating body 12b, the whole end portions of the second vibrating body 12b may be supported with the second frame 104b, in this case, the hole 126b is not formed. Also, the connecting portion of the first vibrating body 12a and the second vibrating body 12b may be connected at the whole portion in the widthwise direction, in this case, the holes 130 are not formed. Bending of the first vibrating body 12a interferes with the vibrating of the first vibrating body 12a, and resulting in a variation of the resonance characteristics. By measuring the variation of the resonance characteristics, the acceleration can be detected. In order to detect the acceleration, similarly to the acceleration sensor shown in Fig. 41, voltages generated in the piezoelectric elements 14a, 14b are measured by the first differential circuit 112. When an acceleration is given to the acceleration sensor 100 in the direction perpendicular to the surface of the second vibrating body 12b, the second vibrating body 12b is bent as shown in Fig. 54. By measuring the difference between the output voltages generated in the piezoelectric elements 14c and 14d by the second differential circuit 114, the acceleration can be detected. In this case, in order to prevent swing of the first vibrating body 12a, the first vibrating body 12a is supported with the first frame 104a at the both width ends, however the whole end portion of the first vibrating body 12a may be supported with the first frame 104a, in this case, the hole 126a is not made. When acceleration which is not perpendicular to the surfaces of the first vibrating body 12a and the second vibrating body 12b is given to the acceleration sensor 100, the vibrating bodies 12a and 12b are deformed corresponding to the acceleration components perpendicular to the surfaces of the vibrating bodies 12a, 12b. Therefore, from the first differential circuit 112 and the second differential circuit 114, signals corresponding to the acceleration components perpendicular to the surfaces of the vibrating bodies 12a, 12b can be obtained. From these output signals, the accelerations in all directions perpendicular to the connecting line of the first vibrating body 12a and the second vibrating body 12b can be obtained. In the acceleration sensor 100, since weights 120 are formed at the end portions of the vibrating bodies 12a, 12b, when the first vibrating body 12a or the second vibrating body 12b is bent, the bending is enlarged by the mass of the weights 120. Therefore, even when a minute acceleration is given to the acceleration sensor, the large output signal can be obtained, and the acceleration sensor having high detection sensitivity can be obtained. In the acceleration sensor 100, the vibrating bodies 12a, 12b are formed in a plate-shape, large bending against the acceleration can be obtained as compared with the vibrating body formed in a prism-shape. Therefore, as compared with the acceleration sensor using a prism-shaped vibrating body, the large output signal against the acceleration can be obtained, and resulting in a high sensitivity. As shown in Fig. 55, it is possible to form another piezoelectric elements 66a, 66b and another piezoelectric elements 66c, 66d to the first vibrating body 12a and the second vibrating body 12b. The piezoelectric elements 14a, 14b and the piezoelectric elements 14c, 14d are used for driving, and the piezoelectric elements 66a, 66b and the piezoelectric elements 66c, 66d are used for detecting. In this case, by measuring the output voltages of the piezoelectric elements 66a, 66b and the piezoelectric elements 66c, 66d, the acceleration given to the acceleration sensor 100 can be detected. In such acceleration sensor 100, it is possible to polarize all piezoelectric elements 14a-14d in the same situation. That is, the piezoelectric elements 14a, 14b, 14c, 14d may be polarized from outside toward the vibrating body side, and the piezoelectric elements 14a, 14b, 14c, 14d may be polarized from the vibrating body side toward outside. In such cases, the driving signals applied to the piezoelectric elements 14a, 14b and the driving signals applied to the piezoelectric elements 14c, 14d have inverse phase. In this way, the first vibrating body 12a and the second vibrating body 12b can be vibrated in such a manner that longitudinal expansion and contraction take place inversely. As the material of the vibrating body 12a and 12b, piezoelectric ceramics may be used. In this case, as shown in Fig. 56, electrodes 60a, 60b, 60c, 60d are formed instead of the piezoelectric elements 14a-14d. The vibrating body 12a is polarized in a direction perpendicular to the electrodes 60a, 60b, and the vibrating body 12b is polarized in a direction perpendicular to the electrodes 60c, 60d. By applying the driving signals to the electrodes 60a, 60b, and to the electrodes 60c, 60d, it is possible to vibrate the vibrating bodies 12a, 12b in such a manner that longitudinal expansion and contraction take place simultaneously. The phase of driving signals is decided by the polarizing direction of the vibrating body and connecting mode of the oscillation circuit. By measuring the output voltages of the electrodes 60a-60d, the acceleration can be detected. Similarly, as to the acceleration sensor having the shape as shown in Fig. 55, the vibrating bodies may be made of piezoelectric ceramics, and electrodes may be formed instead of the piezoelectric elements. The vibrating body 12a and the vibrating body 12b may not be cross at the right angle with each other. If the vibrating bodies 12a, 12b are connected with each other in a folding manner, it is possible to detect the acceleration components perpendicular to the surfaces, and the accelerations in all directions can be calculated from the acceleration components and the angle between the vibrating bodies 12a and 12b.

Claims: A piezoelectric vibrator comprising; a vibrating body (12); means (22,110) for generating a driving signal; and at least two piezoelectric elements (14a-14d;32,34; 50a-50f) formed on parallel surfaces of said vibrating body (12), for vibrating said vibrating body, said at least two piezoelectric elements (14a-14d;32,34; 50a-50f) being polarized in a direction perpendicular to said parallel surfaces; wherein said piezoelectric elements (14a-14d;32,34; 50a-50f) and said means (22,110) for generating a driving signal are adapted and arranged such that in use said vibrating body (12) will vibrate, in such a manner that expansion and contraction take place respectively and simultaneously in the vicinity of portions of said vibrating body (12) where said piezoelectric elements are formed, and that an overall length in a vibrating direction of said vibrating body (12) is substantially constant. A piezoelectric vibrator according to claim 1, wherein said piezoelectric elements (14a-14d;32,34;50a-50f) are formed at opposite surfaces of said vibrating body (12). A piezoelectric vibrator according to claim 2, wherein a pair of said piezoelectric elements (14a-14d) are formed on both surfaces of said vibrating body (12) at each of both sides of a longitudinal center portion of said vibrating body (12). A piezoelectric vibrator according to claim 2, wherein a pair of piezoelectric elements (50a-50f) is formed on both surfaces of said vibrating body (12) at a longitudinal center portion of said vibrating body (12) and its both sides. A piezoelectric vibrator according to claim 2, wherein said vibrating body (12) is formed in a disk shape, and two pairs of piezoelectric elements (14a-14d) are formed on both surfaces of said vibrating body (12) in a concentric circle shape. A piezoelectric vibrator according to claim 3 or 5, wherein one pair (14a,14b) of said piezoelectric elements are polarized from outside toward said vibrating body side, and the other pair (14c,14d) of said piezoelectric elements are polarized from said vibrating body side toward outside. A piezoelectric vibrator according to claim 4, wherein one pair of said piezoelectric elements (50a-50f) at one side of the longitudinal center portion of said vibrating body (12) is polarized from outside toward said vibrating body side, and the other pair of said piezoelectric elements at the other side of the longitudinal center portion of said vibrating body (12) is polarized from said vibrating body side toward outside. A piezoelectric vibrator according to claims 3 to 5, wherein driving signals having inverse phase are applied to two pairs of said piezoelectric elements (14a -14d;50a-50f) at both sides of the longitudinal center portion of said vibrating body (12). A piezoelectric vibrator comprising; a vibrating body (12) made of piezoelectric material; means (22,110) for generating a driving signal; and at least two electrodes (60a-60d) formed on parallel surfaces of said vibrating body (12) for applying said driving signal to said vibrating body (12), said vibrating body (12) being polarized in a direction perpendicular to said parallel surfaces; wherein, in use, said vibrating body (12) will vibrate in such a manner that expansion and contraction take place respectively and simultaneously in the vicinity of portions of said vibrating body (12) where said at least two electrodes (60a - 60d) are formed, and that an overall length in a vibrating direction of said vibrating body is substantially constant. A piezoelectric vibrator according to claim 9, wherein said electrodes (60a-60d) are formed at opposite surfaces of said vibrating body (12). A piezoelectric vibrator according to claim 10, wherein a pair of said electrodes (60a-60d) is formed on both surfaces of said vibrating body (12) at each of both sides of a longitudinal center portion of said vibrating body (12). A piezoelectric vibrator according to claim 10, wherein a pair of electrodes is formed on both surfaces of said vibrating body (12) at a longitudinal center portion of said vibrating body and its both sides. A piezoelectric vibrator according to claim 10, wherein said vibrating body (12) is formed in a disk shape, and two pairs of electrodes are formed on both surfaces of said vibrating body (12) in a concentric circle shape. A piezoelectric vibrator according to claims 11 to 13, wherein parts of said vibrating body (12) arranged between two pairs of said electrodes (60a-60d) are polarized in an inverse direction. A piezoelectric vibrator according to claims 11 to 13, wherein driving signals having inverse phase are applied to two pairs of said electrodes (60a-60d) at both sides of the longitudinal center portion of said vibrating body (12). An acceleration sensor comprising; a piezoelectric vibrator (10) according to claims 1, 3, 6 or 8, wherein said vibrating body (12) is plate-shaped; a weight (120) formed at the center of said vibrating body (12); and a supporting means (104) for supporting both ends of said vibrating body (12). An acceleration sensor according to claim 16, wherein a frame for supporting both ends of said vibrating body (12) is used as said supporting means (104). An acceleration sensor comprising; a piezoelectric vibrator (10) according to claims 9, 11, 14 or 15, wherein the vibrating body (12) is plate-shaped; a weight (120) formed at the center of said vibrating body (12); and a supporting means (104) for supporting both ends of said vibrating body (12). An acceleration sensor according to claim 18, wherein a frame for supporting both ends of said vibrating body (12) is used as said supporting means (104). An acceleration sensor comprising; a piezoelectric vibrator according to claims 1, 3, 6 or 8, wherein said vibrating body (12) is plate-shaped; and weights (120) formed at both longitudinal ends of said vibrating body (12). An acceleration sensor according to claim 20, which further comprises a frame (104) for supporting both ends of said vibrating body (12), wherein said frame (104) is supported at a portion (122a, 122b) corresponding to the longitudinal center portion of said vibrating body (12). An acceleration sensor according to claims 20 or 21, which further comprises another piezoelectric element (62a-62d) formed on a surface of said vibrating body (12) for detecting an acceleration. An acceleration sensor comprising; a piezoelectric vibrator (10) according to claims 9, 11, 14 or 15, wherein said vibrating body (12) is plate-shaped; and weights (120) formed at both longitudinal ends of said vibrating body (12). An acceleration sensor according to claim 23, which further comprises a frame (104) for supporting both ends of said vibrating body (12), wherein said frame (104) is supported at a portion corresponding to the longitudinal center portion of said vibrating body (12). An acceleration sensor according to claims 22 or 23, which further comprises another electrode formed on a surface of said vibrating body for detecting an acceleration. An acceleration sensor comprising: a piezoelectric vibrator (10) according to claims 1, 6 or 8, wherein said vibrating body (12) is prism-shaped; and wherein said at least two piezoelectric elements are arranged peripherially on side faces of said vibrating body (12). An acceleration sensor according to claim 26, wherein said vibrating body (12) is formed in a rectangular prism shape, and a pair of said piezoelectric elements are formed on each of different opposite faces at both sides of the longitudinal center portion of said vibrating body (12). An acceleration sensor according to claim 26, wherein said vibrating body (12) is formed in a rectangular prism shape, and a pair of said piezoelectric elements are formed on opposite faces of said vibrating body (12) at each of both sides of longitudinal center portion of said vibrating body (12), and another piezoelectric elements (66a-66d) are formed on four side faces of said vibrating body (12) for detecting an acceleration. An acceleration sensor comprising: a piezoelectric vibrator (10) according to claims 9, 14 or 15, wherein said vibrating body (12) is prism-shaped; and wherein at least two electrodes are arranged peripherially on side faces of said vibrating body (12). An acceleration sensor according to claim 29, wherein said vibrating body (12) is formed in a rectangular prism shape, and a pair of said electrodes are formed on each of different opposite faces at both sides of the longitudinal center portion of said vibrating body (12). An acceleration sensor according to claim 29, wherein said vibrating body (12) is formed in a rectangular prism shape, and a pair of said electrodes are formed on a opposite faces of said vibrating body (12) at each of both sides of longitudinal center portion of said vibrating body, and another electrodes (66a-66d) are formed on four side faces of said vibrating body (12) for detecting an acceleration. An acceleration sensor according to claim 30, wherein parts of said vibrating body (12) arranged between two pairs of said electrodes are polarized in an direction perpendicular to said electrodes. An acceleration sensor comprising; a plurality of plate-shaped vibrating bodies (12a, 12b) connected with each other so that the surfaces of said vibrating bodies (12a, 12b) are crossed on one central axis; means (22,110) for generating a driving signal; and at least two piezoelectric elements (14a-14d), formed on parallel surfaces of said vibrating bodies (12a, 12b), for vibrating said vibrating bodies, said at least two piezoelectric elements (14a-14d) being polarized in a direction perpendicular to said parallel surfaces; wherein said piezoelectric elements (14a-14d) and said means (22,110) for generating a driving signal are adapted and arranged such that in use said vibrating bodies (12a, 12b) will vibrate in such a manner that expansion and contraction take place respectively and simultaneously in the vicinity of portions of said vibrating bodies where said piezoelectric elements are formed, and that an overall length in a vibrating direction is substantially constant. An acceleration sensor according to claim 33, wherein two said vibrating bodies (12a, 12b) are connected with each other so that surfaces of said vibrating bodies are crossed at a right angle on one central axis, and a pair of said piezoelectric elements (14a-14d) are formed on opposite surfaces of each of said vibrating bodies (12a, 12b). An acceleration sensor according to claim 33, which further comprises frames (104a, 104b) connected with each other for supporting both ends of said vibrating bodies (12a, 12b) connected with each other. An acceleration sensor according to claim 34 or 35, wherein one pair of said piezoelectric elements (14a-14d) are polarized from outside toward said vibrating body side, and the other pair of said piezoelectric elements are polarized from said vibrating body side toward outside. An acceleration sensor according to claims 34 or 35, wherein driving signals having inverse phase are applied to two pairs of said piezoelectric elements on said vibrating bodies (12a, 12b). An acceleration sensor comprising: a plurality of plate-shaped vibrating bodies (12a, 12b) made of piezoelectric material connected with each other so that the surfaces of said vibrating bodies (12a, 12b) are crossed on one central axis; means (22,110) for generating a driving signal; and at least two electrodes (60a-60d), formed on parallel surfaces of said vibrating bodies (12a, 12b), for applying said driving signal to said vibrating bodies (12a, 12b), said vibrating bodies (12a,12b) being polarized in a direction perpendicular to said parallel surfaces; wherein, in use, said vibrating bodies (12a, 12b) will vibrate in such manner that expansion and contraction take place respectively and simultaneously in the vicinity of portions of said vibrating bodies where said at least two electrodes are formed, and that an overall length in a vibrating direction of said vibrating bodies is substantially constant. An acceleration sensor according to claim 38, wherein two said vibrating bodies (12a, 12b) are connected with each other so that surfaces of said vibrating bodies are crossed at a right angle on one central axis, and a pair of said electrodes is formed on opposite surfaces of each of said vibrating bodies. An acceleration sensor according to claim 38, which further comprises frames (104a, 104b) connected with each other for supporting both ends of said vibrating bodies (12a, 12b) connected with each other. An acceleration sensor according to claim 39, wherein each of said vibrating bodies (12a, 12b) is polarized in an direction perpendicular to said electrodes (60a-60d). An acceleration sensor according to claim 39 or 40, wherein driving signals having inverse phase are applied to two pairs of said electrodes (60a-60d) on said vibrating bodies (12a, 12b). An acceleration sensor comprising: a plurality of plate-shaped vibrating bodies (12a, 12b) connected in a folding manner; means (22,110) for generating a driving signal; and at least two piezoelectric elements (14a-14d), formed on parallel surfaces of said vibrating bodies (12a, 12b), for vibrating said vibrating bodies, said at least two piezoelectric elements (14a-14d) being polarized in a direction perpendicular to said parallel surfaces; wherein said piezoelectric elements (14a-14d) and said means (22,110) for generating a driving signal are adapted and arranged such that in use said vibrating bodies (12a, 12b) will vibrate in such a manner that expansion and contraction take place respectively and simultaneously in the vicinity of portions of said vibrating bodies where said piezoelectric elements are formed, and that an overall length in a vibrating direction is substantially constant. An acceleration sensor according to claim 43 which further comprises frames (104a, 104b) connected with each other for supporting said vibrating bodies connected with each other. An acceleration sensor according to claim 44, wherein one pair of said piezoelectric elements (14a - 14d) are polarized from outside toward said vibrating body side, and the other pair of said piezoelectric elements are polarized from said vibrating body side toward outside. An acceleration sensor according to claim 44, wherein driving signals having inverse phase are applied to two pairs of said piezoelectric elements (14a - 14d) on said vibrating bodies (12a, 12b). An acceleration sensor comprising: a plurality of plate-shaped vibrating bodies (12a, 12b) made of piezoelectric material connected in a folding manner; means (22,110) for generating a driving signal; and at least two electrodes (60a-60d), formed on parallel surfaces of said vibrating bodies (12a, 12b), for applying said driving signal to said vibrating bodies, said vibrating bodies (12) being polarized in a direction perpendicular to said parallel surfaces; wherein, in use, said vibrating bodies (12a, 12b) will vibrate in such a manner that expansion and contraction take place respectively and simultaneously in the vicinity of portions of said vibrating bodies where said at least two electrodes are formed, and that an overall length in a vibrating direction of said vibrating bodies is substantially constant. An acceleration sensor according to claim 47 which further comprises frames (104a, 104b) connected with each other for supporting said vibrating bodies connected with each other. An acceleration sensor according to claim 48, wherein each of said vibrating bodies (12a, 12b) is polarized in an direction perpendicular to said electrodes (60a-60d). An acceleration sensor according to claim 48, wherein driving signals having inverse phase are applied to two pairs of said electrodes (60a-60d) on said vibrating bodies (12a, 12b).

Inventors: KANEKO TAKAYUKI, NAKAMURA TAKESHI, KANEKO, TAKAYUKI, NAKAMURA, TAKESHI, KANEKO, TAKAYUKI, C/O MURATA MANUFACT. CO., LTD., NAKAMURA, TAKESHI, C/O MURATA MANUFACT. CO., LTD.
Applicants: MURATA MANUFACTURING CO, MURATA MANUFACTURING CO., LTD.
Application year: 1994
Main classification: G01P15
IPC codes: G01P15